122573887688 has 36 divisors (see below), whose sum is σ = 267363777915. Its totient is φ = 52528695408.

The previous prime is 122573887637. The next prime is 122573887691. The reversal of 122573887688 is 886788375221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61286943844 + 61286943844 = 247562^2 + 247562^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247562.

It is a super-3 number, since 3×122573887688³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6922895 + ... + 6940577.

Almost surely, 2^122573887688 is an apocalyptic number.

It is an amenable number.

122573887688 is an abundant number, since it is smaller than the sum of its proper divisors (144789890227).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122573887688 is an frugal number, since it uses more digits than its factorization.

122573887688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35386 (or 17692 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 65.

The spelling of 122573887688 in words is "one hundred twenty-two billion, five hundred seventy-three million, eight hundred eighty-seven thousand, six hundred eighty-eight".